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Shortcuts to adiabaticity (STAs) have been used to make rapid changes to asystem while eliminating or minimizing excitations in the system's state. Inquantum systems, these shortcuts allow us to minimize inefficiencies andheating in experiments and quantum computing protocols, but the theory of STAscan also be generalized to classical systems. We focus on one such STA,approximate counter-diabatic (ACD) driving, and numerically compare itsperformance in two classical systems: a quartic anharmonic oscillator and the$\beta$ Fermi-Pasta-Ulam-Tsingou (FPUT) lattice. In particular, we modify anexisting variational technique to optimize the approximate driving and thendevelop classical figures of merit to quantify the performance of the driving.We find that relatively simple forms for the ACD driving can dramaticallysuppress excitations regardless of system size. ACD driving in classicalnonlinear oscillators could have many applications, from minimizing heating inbosonic gases to finding optimal local dressing protocols in interacting fieldtheories.

Counter-diabatic driving in the classical $\beta$-Fermi-Pasta-Ulam-Tsingou chain